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The phrase "activity is given by" is correct and usable in written English.
It can be used in contexts where you are defining or explaining how a particular activity is determined or calculated, often in academic or technical writing.
Example: "In this experiment, the activity is given by the rate of reaction measured over time."
Alternatives: "activity is defined by" or "activity is determined by".
Exact(14)
The activity is given by the product of the mole fraction xi and the activity coefficient γi.
The source code path of an activity is given by the CodeFile metaclass.
The estimation of the path activity follows (17), and thus the a posteriori PDF with respect to the path activity is given by (28).
The overall weight of each mode in the spontaneous activity is given by the magnitude of the associated eigenvalue.
The absolute activity [U] of the enzyme was calculated by the ratio of released 4-nitrophenol [µmol] within 1 min, while the specific activity is given by the quotient of absolute activity to the protein amount [U/mg].
For the logarithmic rule the discrete activity is given by
Similar(46)
The 226Ra activity was given by dividing the gross α-activity by four.
Full details of the method used to derive expressions for NECR against the administered activity are given by Watson et al. [3].
The initial conditions for the transcription factor activity are given by the spatial functions u0 i (x), i = 1,…,6, which describe quantitatively the expression pattern at E8.5.
Maximal stimulations of boiled S2 mutagenic activity are given by 10 mM Trp, 2.5 mM creatine phosphate (CP), and synergistically by 10 mM Trp + 2.5 mM CP + 1.0 mM FeSO4 (a mixture abbreviated as S2*).
From Eq. (9), the normalized frontostriatal synaptic weight or the glutamatergic synaptic efficacy and the PFC activity are given by (10) And we have the differences of V ps and between patients and healthy subjects as (11) Because Bmax = 1.0 (HC) vs 1.2 (SZ), the values of a and b in patients should be 1.2 times of those in healthy subjects.
More suggestions(15)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com